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Finding the Third Proportional to 5,351.48 and 8,522.58

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Solution

The third proportional to 5,351.48 and 8,522.58 is: 13,572.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.48 : 8,522.58 = 8,522.58 : x
  2. Step 2: Convert to fraction form
    5,351.48/8,522.58 = 8,522.58/x
  3. Step 3: Cross multiply
    5,351.48x = 8,522.58 × 8,522.58
  4. Step 4: Simplify right side
    5,351.48x = 72,634,337.90
  5. Step 5: Solve for x
    x = 72,634,337.90/5,351.48
  6. Step 6: Final answer
    x = 13,572.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.